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Pseudospin and nonlinear conical diffraction in Lieb lattices

Leykam, Daniel; Bahat-Treidel, Omri; Desyatnikov, Anton S

Description

We study linear and nonlinear wave dynamics in the Lieb lattice, in the vicinity of an intersection point between two conical bands and a flat band. We define a pseudospin operator and derive a nonlinear equation for spin-1 waves, analogous to the spin-1/2 nonlinear Dirac equation. We then study the dynamics of wave packets that are associated with different pseudospin states, and find that they are distinguished by their linear and nonlinear conical diffraction patterns.

dc.contributor.authorLeykam, Daniel
dc.contributor.authorBahat-Treidel, Omri
dc.contributor.authorDesyatnikov, Anton S
dc.date.accessioned2015-12-10T23:23:22Z
dc.identifier.issn1050-2947
dc.identifier.urihttp://hdl.handle.net/1885/66926
dc.description.abstractWe study linear and nonlinear wave dynamics in the Lieb lattice, in the vicinity of an intersection point between two conical bands and a flat band. We define a pseudospin operator and derive a nonlinear equation for spin-1 waves, analogous to the spin-1/2 nonlinear Dirac equation. We then study the dynamics of wave packets that are associated with different pseudospin states, and find that they are distinguished by their linear and nonlinear conical diffraction patterns.
dc.publisherAmerican Physical Society
dc.rightsAuthor/s retain copyright
dc.sourcePhysical Review A: Atomic, Molecular and Optical Physics
dc.subjectKeywords: Conical diffraction; Dirac equations; Flat band; Intersection points; Nonlinear wave dynamics; Pseudo-spin operators; Pseudospin; Linear equations; Optical Kerr effect; Waves; Diffraction
dc.titlePseudospin and nonlinear conical diffraction in Lieb lattices
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume86
dc.date.issued2012
local.identifier.absfor049999 - Earth Sciences not elsewhere classified
local.identifier.ariespublicationf5625xPUB1369
local.type.statusPublished Version
local.contributor.affiliationLeykam, Daniel, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationBahat-Treidel, Omri, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationDesyatnikov, Anton S, College of Physical and Mathematical Sciences, ANU
local.bibliographicCitation.issue3
local.bibliographicCitation.startpage1
local.bibliographicCitation.lastpage4
local.identifier.doi10.1103/PhysRevA.86.031805
dc.date.updated2016-02-24T08:45:42Z
local.identifier.scopusID2-s2.0-84866660437
local.identifier.thomsonID000309101700002
dcterms.accessRightsOpen Access
CollectionsANU Research Publications

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